# Stored data for abelian variety isogeny class 2.83.e_gn, downloaded from the LMFDB on 29 October 2025.
{"abvar_count": 7395, "abvar_counts": [7395, 49716585, 326388204720, 2251138381763625, 15516539108721044475, 106890565906982280879360, 736364898355613407400493795, 5072820053077510268955396431625, 34946659277275275975080934156688560, 240747534217177602984765113774602570425], "abvar_counts_str": "7395 49716585 326388204720 2251138381763625 15516539108721044475 106890565906982280879360 736364898355613407400493795 5072820053077510268955396431625 34946659277275275975080934156688560 240747534217177602984765113774602570425 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.517478306302015, 0.552648295367629], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 88, "curve_counts": [88, 7212, 570820, 47434004, 3939167048, 326942080614, 27136037540504, 2252292122971876, 186940256539508860, 15516041193271135932], "curve_counts_str": "88 7212 570820 47434004 3939167048 326942080614 27136037540504 2252292122971876 186940256539508860 15516041193271135932 ", "curves": ["y^2=51*x^6+10*x^5+77*x^4+80*x^3+10*x^2+37*x+59", "y^2=52*x^6+65*x^5+25*x^4+66*x^3+33*x^2+11*x+82", "y^2=51*x^6+5*x^5+43*x^4+34*x^3+15*x^2+2*x+38", "y^2=29*x^6+8*x^5+79*x^4+11*x^3+46*x^2+62*x+61", "y^2=9*x^6+20*x^5+48*x^4+28*x^3+59*x^2+5*x+30", "y^2=17*x^6+33*x^5+17*x^4+64*x^2+26*x+63", "y^2=48*x^6+55*x^5+52*x^4+64*x^3+50*x^2+8*x+16", "y^2=38*x^6+44*x^5+80*x^4+59*x^3+52*x^2+41*x+10", "y^2=58*x^6+10*x^5+11*x^4+74*x^3+10*x^2+70*x+22", "y^2=56*x^6+40*x^5+52*x^4+46*x^3+15*x^2+63*x+43", "y^2=26*x^6+27*x^5+69*x^4+20*x^3+7*x^2+69*x+59", "y^2=45*x^6+30*x^5+66*x^4+22*x^3+66*x^2+30*x+45", "y^2=55*x^6+82*x^5+28*x^4+30*x^3+25*x^2+19*x+60", "y^2=41*x^6+53*x^5+34*x^4+78*x^3+13*x^2+15*x+30", "y^2=36*x^6+13*x^5+5*x^4+38*x^3+55*x^2+79*x+25", "y^2=81*x^6+81*x^5+60*x^4+67*x^3+13*x^2+48*x+27", "y^2=25*x^6+71*x^5+32*x^4+23*x^3+39*x^2+24*x+48", "y^2=28*x^6+53*x^5+38*x^4+4*x^3+44*x^2+66*x+44", "y^2=35*x^6+70*x^5+42*x^4+52*x^3+55*x^2+68*x+5", "y^2=7*x^6+21*x^5+55*x^4+77*x^3+45*x^2+12*x+41", "y^2=57*x^6+47*x^5+48*x^4+37*x^3+70*x^2+22*x+42", "y^2=4*x^6+8*x^5+10*x^4+32*x^3+3*x^2+14*x+27", "y^2=19*x^6+58*x^5+4*x^4+9*x^3+11*x^2+34*x+80", "y^2=26*x^6+31*x^5+40*x^4+23*x^3+10*x^2+59*x+3", "y^2=4*x^6+39*x^5+76*x^4+33*x^3+79*x^2+50*x+61", "y^2=65*x^6+25*x^5+40*x^4+71*x^3+69*x^2+29*x+1", "y^2=61*x^6+10*x^5+43*x^4+63*x^3+82*x^2+69*x+68", "y^2=20*x^6+45*x^5+59*x^4+77*x^3+77*x^2+8*x+47", "y^2=33*x^6+30*x^5+33*x^4+18*x^3+48*x^2+23*x+70", "y^2=20*x^6+3*x^5+64*x^4+10*x^3+10*x^2+59*x+58", "y^2=69*x^6+78*x^5+51*x^4+9*x^3+x^2+68*x+48", "y^2=78*x^6+23*x^5+15*x^4+6*x^3+57*x^2+30*x+51", "y^2=29*x^6+53*x^5+10*x^4+23*x^3+30*x^2+62*x+36", "y^2=43*x^6+x^5+62*x^4+6*x^3+22*x^2+25*x+20", "y^2=21*x^6+51*x^5+55*x^4+20*x^3+57*x^2+30*x+31", "y^2=5*x^6+2*x^5+10*x^4+49*x^3+3*x^2+45*x+13"], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 2, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "geom_dim1_factors": 2, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.331.1", "2.0.323.1"], "geometric_splitting_polynomials": [[4, 0, 327, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 36, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 36, "label": "2.83.e_gn", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.331.1", "2.0.323.1"], "p": 83, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 4, 169, 332, 6889], "poly_str": "1 4 169 332 6889 ", "primitive_models": [], "q": 83, "real_poly": [1, 4, 3], "simple_distinct": ["1.83.b", "1.83.d"], "simple_factors": ["1.83.bA", "1.83.dA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,F^2-V+92"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_polynomials": [[4, 0, 327, 0, 1]], "twist_count": 4, "twists": [["2.83.ae_gn", "2.6889.mk_cgsh", 2], ["2.83.ac_gh", "2.6889.mk_cgsh", 2], ["2.83.c_gh", "2.6889.mk_cgsh", 2]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 106913, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^2-V+92"]}